in a right angle triangle ABC, if b=90 degree AC= 25 cm and BC= 7 cm then find the value of tan A
Answers
AC^2=BC^2+AB^2 (pythagoras theorem)
25^2=7^2+AB^2
625=49+AB^2
AB^2=625-49
AB^2=576
AB=√576=24
tan A= opposite/adjacent= bc/ab= 7/24
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Answer: The value of tan A is .
Step-by-step explanation:
Given:In a right angle triangle ABC, ∠b=90°, AC= 25 cm and BC= 7 cm
To find: We have to find the value of tan A.
Explanation:
Step 1:It is given in right angle ΔABC, ∠B=90°,AC=25 cm BC=7 cm respectively.
Step 2:On applying pythagoras theorem in right angle ΔABC we get,
⇒
⇒
⇒
⇒
⇒
⇒
⇒
∴ The side AB=24 cm in right ΔABC.
Step 3:As we know that in right ΔABC where ∠B=90° tan A will be the ratio of opposite side BC and adjacent side AB.
i.e. tan A
⇒ tan A
∴ The value of tan A is .
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